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The safety and resilience of civil infrastructure systems are increasingly threatened by compounded risks from various hazard events and structural deterioration due to environmental stressors. This study presents a comprehensive…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Sudhir P. Jodha , Konstantinos G. Papakonstantinou

Epidemic-Type Aftershock Sequence (ETAS) models are point processes that have found prominence in seismological modeling. Its success has led to the development of a number of different versions of the ETAS model. Among these extensions is…

Applications · Statistics 2022-07-06 Tom Stindl , Feng Chen

Under label shift, the label distribution p(y) might change but the class-conditional distributions p(x|y) do not. There are two dominant approaches for estimating the label marginal. BBSE, a moment-matching approach based on confusion…

Machine Learning · Computer Science 2020-10-20 Saurabh Garg , Yifan Wu , Sivaraman Balakrishnan , Zachary C. Lipton

This paper develops new insights into quantitative methods for the validation of computational model prediction. Four types of methods are investigated, namely classical and Bayesian hypothesis testing, a reliability-based method, and an…

Data Analysis, Statistics and Probability · Physics 2012-06-25 You Ling , Sankaran Mahadevan

We examine the applicability of modern neural network architectures to the midterm prediction of earthquakes. Our data-based classification model aims to predict if an earthquake with the magnitude above a threshold takes place at a given…

Machine Learning · Computer Science 2020-06-04 Roman Kail , Alexey Zaytsev , Evgeny Burnaev

Markov chain Monte Carlo (MCMC) is the predominant tool used in Bayesian parameter estimation for hierarchical models. When the model expands due to an increasing number of hierarchical levels, number of groups at a particular level, or…

Computation · Statistics 2016-06-22 Will Landau , Jarad Niemi

The interpretation of cosmological observables requires the use of increasingly sophisticated theoretical models. Since these models are becoming computationally very expensive and display non-trivial uncertainties, the use of standard…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-14 Marcos Pellejero-Ibañez , Raul E. Angulo , Giovanni Aricó , Matteo Zennaro , Sergio Contreras , Jens Stücker

Validation is often defined as the process of determining the degree to which a model is an accurate representation of the real world from the perspective of its intended uses. Validation is crucial as industries and governments depend…

Computational Physics · Physics 2016-09-08 Didier Sornette , Anthony B. Davis , James R. Kamm , Kayo Ide

Operational earthquake forecasting for risk management and communication during seismic sequences depends on our ability to select an optimal forecasting model. To do this, we need to compare the performance of competing models with each…

Applications · Statistics 2022-04-20 Francesco Serafini , Mark Naylor , Finn Lindgren , Maximilian Werner , Ian Main

A composite likelihood is a non-genuine likelihood function that allows to make inference on limited aspects of a model, such as marginal or conditional distributions. Composite likelihoods are not proper likelihoods and need therefore…

Methodology · Statistics 2021-04-06 Michele Lambardi di San Miniato , Nicola Sartori

We address the challenge of quantifying Bayesian uncertainty and incorporating it in offline use cases of finite-state Markov Decision Processes (MDPs) with unknown dynamics. Our approach provides a principled method to disentangle…

Machine Learning · Computer Science 2024-06-05 Filippo Valdettaro , A. Aldo Faisal

The uncertainty of classification outcomes is of crucial importance for many safety critical applications including, for example, medical diagnostics. In such applications the uncertainty of classification can be reliably estimated within a…

Artificial Intelligence · Computer Science 2007-05-23 V. Schetinin , J. E. Fieldsend , D. Partridge , W. J. Krzanowski , R. M. Everson , T. C. Bailey , A. Hernandez

The classification of seismic events has been crucial for monitoring underground nuclear explosions and unnatural seismic events as well as natural earthquakes. This research is an attempt to apply different machine learning (ML) algorithms…

Geophysics · Physics 2025-02-11 Alemayehu Belay Kassa , Mulugeta Tuji Dugda

Radial velocity (RV) planet searches are increasingly finding planets with small velocity amplitudes, with long orbital periods, or in multiple planet systems. Bayesian inference has the potential to improve the interpretation of existing…

Astrophysics · Physics 2007-05-23 Eric B. Ford , Philip C. Gregory

State-space models have been used in many applications, including econometrics, engineering, medical research, etc. The maximum likelihood estimation (MLE) of the static parameter of general state-space models is not straightforward because…

Methodology · Statistics 2025-02-04 Yuxiong Gao , Wentao Li , Rong Chen

Bayesian methods are becoming more widely used in asteroseismic analysis. In particular, they are being used to determine oscillation frequencies, which are also commonly found by Fourier analysis. It is important to establish whether the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Timothy R. White , Brendon J. Brewer , Timothy R. Bedding , Dennis Stello , Hans Kjeldsen

As in other estimation scenarios, likelihood based estimation in the normal mixture set-up is highly non-robust against model misspecification and presence of outliers (apart from being an ill-posed optimization problem). A robust…

Methodology · Statistics 2023-12-20 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

Bayesian inference is a widely used technique for real-time characterization of quantum systems. It excels in experimental characterization in the low data regime, and when the measurements have degrees of freedom. A decisive factor for its…

Quantum Physics · Physics 2025-07-10 Alexandra Ramôa , Raffaele Santagati , Nathan Wiebe

We present a framework that enables estimation of low-dimensional sub-resolution reservoir properties directly from seismic data, without requiring the solution of a high dimensional seismic inverse problem. Our workflow is based on the…

Geophysics · Physics 2019-05-15 Anshuman Pradhan , Tapan Mukerji

The Epidemic Type Aftershock Sequence (ETAS) model is widely used to model seismic sequences and underpins Operational Earthquake Forecasting (OEF). However, it remains challenging to assess the reliability of inverted ETAS parameters for a…

Applications · Statistics 2022-12-16 Mark Naylor , Francesco Serafini , Finn Lindgren , Ian Main